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Mixture and Alligation


1. A grocer buys two types of rice at Rs. 18 and Rs. 12 per kg respectively. In what proportion should these be mixed, so that by selling the mixture at Rs. 17.5 per kg, 25% may be gained?

2 : 1

3 : 2

2 : 3

1 : 2


2. An alloy contains 2 parts bronze and 3 parts copper. How much part of mixture should be drawn out and replaced with bronze so that the ratio of bronze to copper gets reversed in new mixture?

2/5

1/3

1/4

3/10


3. In a vessel, milk and water are mixed are in ratio 4 : 1 and in a second vessel, in the ratio 5 : 4. In what proportion these two mixtures are to be mixed to get a mixture containing milk and water in the ratio 2 : 1?

5 : 3

3 : 5

6 : 5

5 : 6


4. There are two vessels. In the first vessel, the ratio of copper and aluminium is 1 : 2 and in the 2nd vessel, 1 : 4. In what ratio these two vessel should be mixed to make 3rd vessel in which the ratio of copper and aluminium become 1 : 3?

5:3

3:5

2:5

5:2


5. A grain merchant has 500 kg of rice, a part of which he sells at 8% profit and the rest at 18%. He gains 14% on the whole. The quantity sold at 18% profit is:

200 kg

300 kg

150 kg

180 kg


6. A trader has 1000 Kg of wheat, part of which he sells at 5% profit and the rest at 20% profit. He gains 15% on the whole. Find how much wheat is sold at 5% profit?

600 kg

500 kg

666.66 kg

333.33 kg


7.

A trader has 88 kg of rice, a part of which he sells at 14% profit and the rest at 8% loss. On the whole, his loss is 4%. What is the quantity sold at 8% loss?

16 kg

72 kg

64 kg

78 kg


8. One type of liquid contains 25% of acid, the other contains 20% of acid. A can is filled with 6 parts of the first liquid and 4 parts of the second liquid. Find the percentage of acid in the new mixture?

23%

25%

27%

29%


9. A 60 litres vessel full of orange juice contains 40% orange pulp. A part of juice is replaced by another juice containing 19% orange pulp and now the percentage of orange pulp is found to be 26%. What quantity of juice is replaced?

26 litres

40 litres

36 litres

24 litres


10. Two bottles contains mixture of alcohol and water. First bottle contains 64% alcohol and second bottle contains 26% water. In what ratio these two mixtures are mixed so that new mixture contains 68% alcohol?

3:2

2:1

1:2

2:3